A cylinder of radius 5 cm contains water to a depth of 8 cm. Twenty-four spherical marbles of diamet

Question

A cylinder of radius 5 cm contains water to a depth of 8 cm. Twenty-four spherical marbles of diameter 1.5 cm are fully immersed. Using $\pi=3.142$, find the new water depth, the total internal surface area of the cylinder in contact with the water.

Accepted Answer

(a) $8.54$ cm; (b) $346.88\text{ cm}^2$.

Marbles displacing water in a cylinder

Marbles displacing water in a cylinder

Solution:

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